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% chances to detect advertising data by a central

Hello!

I currently have 2 nR52DK using SDK14 and SDK15:

1) Beacon based on the beacon example

2) Central based on app blinky central + multirole

Then, I modified the central to filter the advertisement from the beacon using our company ID, so it works pretty good when the advertising interval is below 100ms

testing settings:

-advertising interval 20ms for the beacon

 -Scanning interval 250ms and Scan Window 25ms Central

The Central receives advertising packets every 250ms

Desired settings:

-Advertising interval 10000ms for the beacon

-Scanning Interval 250ms and Scan window 25ms for the central

The central is not receiving any advertising packet for long runs, e.g 1-6hours

My question: Is there any equation to calculate the chances a central detects advertising packets depending on settings (advertising/scan interval)? 

additional info:

For my application, I am using 10000ms adv interval to maximize the battery duration, and the 250ms for scanning interval it is because  we use the center as a multirole with concurrent connections, where if I reduce the scanning interval we could lose connections links

Regards

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